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Finding the Fourth Proportional to 4,101.78, 6,152.04 and 2,021.21

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Solution

The fourth proportional to 4,101.78, 6,152.04 and 2,021.21 is: 3,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.78 : 6,152.04 = 2,021.21 : x
  2. Step 2: Convert to fraction form
    4,101.78/6,152.04 = 2,021.21/x
  3. Step 3: Cross multiply
    4,101.78x = 6,152.04 × 2,021.21
  4. Step 4: Simplify right side
    4,101.78x = 12,434,534.01
  5. Step 5: Solve for x
    x = 12,434,534.01/4,101.78
  6. Step 6: Final answer
    x = 3,031.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.